What is the Least Common Multiple of 99615 and 99633?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 99615 and 99633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99615 and 99633, than apply into the LCM equation.

GCF(99615,99633) = 3
LCM(99615,99633) = ( 99615 × 99633) / 3
LCM(99615,99633) = 9924941295 / 3
LCM(99615,99633) = 3308313765

Least Common Multiple (LCM) of 99615 and 99633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99615 and 99633. First we will calculate the prime factors of 99615 and 99633.

Prime Factorization of 99615

Prime Factorization of 99633

Now multiplying the highest exponent prime factors to calculate the LCM of 99615 and 99633.

LCM(99615,99633) = 3¹ × 5¹ × 29¹ × 229¹ × 33211¹
LCM(99615,99633) = 3308313765